Question #$3(3$ pts$.)$:

It has been anticipated that the soil under the proposed slab portion in Question #$2$ is contaminated, and needs to be removed and backfilled to a depth of $3$ feet. A $0\mathrm{.}75f{t}^3$ sample from borrow pit of the same soil as the top layer was found to have a moist weight of $43\mathrm{.}7lb$ and a dry weight of $39\mathrm{.}3lb.$ How much soil from the borrow pit is required to allow the in$-$situ void ratio of the top layer to be met when backfilled?

Question #$4(5$ pts$.)$:

A sieve analysis was performed on a sample of the top layer of the soil, with the results shown below:

Sieve Size $($in$.)$

Amount retained $(g)$

$\backslash$table$[[\frac{1}{2},\frac{3}{8},$No$.4,10,20,30,40,50,\backslash$table$[[$No$.],[100]],\backslash$table$[[$No$.],[200]],$pan$],[0,65\mathrm{.}7,78\mathrm{.}3,99\mathrm{.}7,88\mathrm{.}6,93\mathrm{.}4,144\mathrm{.}5,187\mathrm{.}2,175\mathrm{.}3,182\mathrm{.}7,58\mathrm{.}2]]$

Do the following:

a$)$ Calculate the percent retained and percent passing each sieve, and graph the results on a semi$-$log graph $($you may use the attached chart, or graph in Excel and include with your submission$).$ Then, characterize the gradation of the material. $(3$ pts$.)$

b$)$ Calculate the values of $D_{10},D_{30},D_{60},C{u}_u,$ and $.).$

c$)$ If the LL is $38$ and the PL is $30,$ determine the AASHTO classification of the soil $($including group index$),$ and state its suitability for the purpose indicated in the scenario. $(2$ pts$.)$